77652672 has 56 divisors (see below), whose sum is σ = 206599536. Its totient is φ = 25740288.

The previous prime is 77652661. The next prime is 77652683. The reversal of 77652672 is 27625677.

It is an interprime number because it is at equal distance from previous prime (77652661) and next prime (77652683).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36798 + ... + 38850.

Almost surely, 2^77652672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77652672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103299768).

77652672 is an abundant number, since it is smaller than the sum of its proper divisors (128946864).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

77652672 is a wasteful number, since it uses less digits than its factorization.

77652672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2265 (or 2255 counting only the distinct ones).

The product of its digits is 246960, while the sum is 42.

The square root of 77652672 is about 8812.0753514708. The cubic root of 77652672 is about 426.6307304803.

The spelling of 77652672 in words is "seventy-seven million, six hundred fifty-two thousand, six hundred seventy-two".